Several years ago, global consumption of materials used in the field of Civil Engineering and especially materials for public works, has strongly growth. The use of marine and/or river dredged sediments presents a promising alternative to deal with the problematic of sustainable development. In this paper, we study a management problem of existing treatments for these sediments. Looking to the economical and legislative obligations associated with the treatment process, these operations present one of the main encountered problems during the valorization process of sediments. The solution for this problem is to find an optimal set of treatments respecting these economical and legislative constraints. This optimal solution is obtained by solving a non-linear mathematical model with binaries variables. The proposed resolution algorithm for this model is based on a linearization of the nonlinear constraints in order to solve a simple problem using a solver.